Use our free GCF of Fractions Calculator tool to compute the GCF of 967/205, 216/744 i.e 1/152520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 967/205, 216/744.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 967/205,216/744
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 967/205,216/744, numerators are 967,216
Denominators are 205,744
The GCF of 967,216 is 1 .
LCM of 205,744 is 152520.
The greatest common factor of 967/205,216/744 = [GCF of 967,216]/[LCM of 205,744]= 1/152520
Therefore, the GCF of 967/205,216/744 is 1/152520.
To find the highest common factor of 967,216, we have to find the factors of both numbers and list the highest common factor.
The factors of 967 are 1, 967
The factors of 216 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
The HCF of 967,216 is 1.
Lets's calculate GCF of 967,216
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 967
:1,967
Now, list down the factors of 216
:1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216
Greatest Common Factor
We found the factors 967,216 . The biggest common factor number is the GCF number.
So the greatest common factor 967,216 is 1.
Lets's calculate LCM of 205,744
Given numbers has no common factors except 1. So, there LCM is their product i.e 152520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/152520
Therefore, the GCF of Fractions 967/205,216/744 is 1/152520
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 205,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(205,744) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(205,744) x common factors =1 x 1 = 1
LCM(205,744) = ( 205 × 744 ) / 1
LCM(205,744) = 152520 / 1
LCM(205,744) = 152520
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 967,216?
The HCF of 967,216 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 967/205, 216/744?
Answer: GCF of Numerators as per given numbers 967/205, 216/744 is
GCF of Numerators i.e. for 967,216 is 1
LCM of denominators i.e. for 205,744 is 152520.
Thus, GCF of Fractions is 1/152520.Finally, GCF of Fractions for 967/205, 216/744 is 1/152520.